Let T : P2 P2 be the linear operator defined by T(p(x)) = p(2x + 1), that is, T(c0 + c1x
Chapter 8, Problem 7(choose chapter or problem)
Let T : P2 P2 be the linear operator defined by T(p(x)) = p(2x + 1), that is, T(c0 + c1x + c2x2 ) = c0 + c1(2x + 1) + c2(2x + 1) 2 (a) Find [T ]B with respect to the basis B = {1, x, x2}. (b) Use the three-step procedure illustrated in Example 2 to compute T(2 3x + 4x2). (c) Check the result obtained in part (b) by computing T(2 3x + 4x2) directly
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